The number 3090
3090 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 103. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545, 3090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3090 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3090 is composite. Its prime factorisation is
- 3
The divisors add up to 7488; without 3090 itself that is 4398, so 3090 is abundant (4398 is more than 3090). Euler's totient φ(3090) = 816 numbers up to 3090 share no factor with it.
- 4
The digits of 3090 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3090 = 2 \times 3 \times 5 \times 103 \]
3090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7488 |
| Euler totient φ(n) | 816 |
| Square | 9548100 |
| Cube | 29503629000 |
| Square root | 55.587768 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 61 |
| Scientific notation | 3.09 × |
3090 in other forms
| Form | Value |
|---|---|
| In words | three thousand and ninety |
| Roman numerals | MMMXC |
| Binary (base 2) | 110000010010 |
| Octal (base 8) | 6022 |
| Hexadecimal (base 16) | C12 |
| Base 3 | 11020110 |
| As time | 3090 seconds = 51 min 30 s |
Is 3090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3090 ÷ 2 = 1545) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3090 ÷ 3 = 1030) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3090 ÷ 5 = 618) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3090 ÷ 6 = 515) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3090 ÷ 10 = 309) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3090 a prime number?
No. 3090 = 2 × 3 × 5 × 103, so it is divisible by 2.
What are the factors of 3090?
1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545, 3090.
What is 3090 in binary?
110000010010 (hexadecimal C12, octal 6022).
What is the square root of 3090?
About 55.5878.
What is 3090 in Roman numerals?
MMMXC.
Is 3090 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3090?
It is a composite number with 16 divisors.